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Finding the Fourth Proportional to 5,902.94, 8,144.23 and 3,350.29

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Solution

The fourth proportional to 5,902.94, 8,144.23 and 3,350.29 is: 4,622.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.94 : 8,144.23 = 3,350.29 : x
  2. Step 2: Convert to fraction form
    5,902.94/8,144.23 = 3,350.29/x
  3. Step 3: Cross multiply
    5,902.94x = 8,144.23 × 3,350.29
  4. Step 4: Simplify right side
    5,902.94x = 27,285,502.56
  5. Step 5: Solve for x
    x = 27,285,502.56/5,902.94
  6. Step 6: Final answer
    x = 4,622.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.